Two different 2-digit numbers are randomly chosen and multiplied together. What is the probability that the resulting product is even?
There are 90 2 digit numbers.....the total possible pairs = C(90,2)
An odd can only occur if we multiply any two odds together.....the number of possible pairs = C(45,2)
So....the probability of an even product is......
1 - probability of an odd product =
1 - C(45,2)/C(90,2) =
67/89 ≈ 75.3%
EDIT to correct a silly error pointed out by Guest...!!!!